Theorems · Definition · category theory
CategoryTheory.Center.braiding
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
(X Y : CategoryTheory.Center C) →
CategoryTheory.MonoidalCategoryStruct.tensorObj X Y ≅ CategoryTheory.MonoidalCategoryStruct.tensorObj Y XAuxiliary definition for the BraidedCategory instance on Center C.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Center
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Centerstatement and proof · cited by 58
- CategoryTheory.HalfBraiding.βproof · cited by 30
- CategoryTheory.Center.isoMkproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Center.braiding_hom_fstatement and proof · cited by 0
- CategoryTheory.Center.braiding_inv_fstatement · cited by 0